A filtration system for a fermentation effluent is being designed on the basis of the data taken using a pilot-plant plate-and-frame filter press. The filter area is 0.3 m², cF = 2,000 kg/m³, ΔP = 2.5 10 4 N/m², and filtrate m = 3 x 10^–3 kg/m-s. The liters of filtrate, V, collected during 120 minutes were:

(a) Obtain values for Vo and K in (19-23). 

(b) Calculate a, the specific cake resistance, in m/kg. 

(c) If the anticipated plant plate and- frame filter unit operates at the same pressure, what area is required to handle 5,000 L/h of feed? 

(d) A rotary-drum vacuum filter is being considered for the same application. The fraction of the drum area submerged in the slurry is 0.35, the pressure drop maintained by the vacuum pump is the same as for the plate-and frame filter press, and n = 1 rpm. What drum area is needed?

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V, L t, min 120 5 360 20 700 45 840 75 1,100 120